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Finding the Fourth Proportional to 300.07, 447.90 and 278.67

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Solution

The fourth proportional to 300.07, 447.90 and 278.67 is: 415.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.07 : 447.90 = 278.67 : x
  2. Step 2: Convert to fraction form
    300.07/447.90 = 278.67/x
  3. Step 3: Cross multiply
    300.07x = 447.90 × 278.67
  4. Step 4: Simplify right side
    300.07x = 124,816.93
  5. Step 5: Solve for x
    x = 124,816.93/300.07
  6. Step 6: Final answer
    x = 415.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.